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Finding the Third Proportional to 248,222 and 535,800

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Solution

The third proportional to 248,222 and 535,800 is: 1,156,551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,222 : 535,800 = 535,800 : x
  2. Step 2: Convert to fraction form
    248,222/535,800 = 535,800/x
  3. Step 3: Cross multiply
    248,222x = 535,800 × 535,800
  4. Step 4: Simplify right side
    248,222x = 287,081,640,000
  5. Step 5: Solve for x
    x = 287,081,640,000/248,222
  6. Step 6: Final answer
    x = 1,156,551.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.